{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [],
   "source": [
    "import numpy as np\n",
    "import matplotlib.pyplot as plt\n",
    "from mpl_toolkits.mplot3d import Axes3D\n",
    "import copy\n",
    "from PIL import Image\n",
    "import time\n",
    "import glob\n",
    "import pandas as pd\n",
    "from sklearn.model_selection import train_test_split"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [],
   "source": [
    "np.random.seed(0)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### 卷积实现"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {},
   "outputs": [],
   "source": [
    "def from_image(infilename):\n",
    "    img = Image.open(infilename)\n",
    "    img.load()\n",
    "    data = np.asarray(img, dtype=\"int32\")\n",
    "    return data\n",
    "\n",
    "def to_image(npdata, grey=False, save_path=None) :\n",
    "    mode = \"L\" if grey else \"RGB\"\n",
    "    outimg = Image.fromarray(np.asarray(npdata, dtype=\"uint8\"), mode)\n",
    "    if save_path:\n",
    "        outimg.save(save_path)\n",
    "    return outimg"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {},
   "outputs": [],
   "source": [
    "def get_padding(inputs, ks, mode=\"SAME\"):\n",
    "    \"\"\"\n",
    "    params: inputs (input array)\n",
    "    params: ks (kernel size) [p, q]\n",
    "    return: padding list [n,m,j,k] in different modes\n",
    "    \"\"\"\n",
    "    pad = None\n",
    "    if mode == \"FULL\":\n",
    "        pad = [ks[0] - 1, ks[1] - 1, ks[0] - 1, ks[1] - 1]\n",
    "    elif mode == \"VALID\":\n",
    "        pad = [0, 0, 0, 0]\n",
    "    elif mode == \"SAME\":\n",
    "        pad = [(ks[0] - 1) // 2, (ks[1] - 1) // 2, \n",
    "               (ks[0] - 1) // 2, (ks[1] - 1) // 2]\n",
    "        if ks[0] % 2 == 0:\n",
    "            pad[2] += 1\n",
    "        if ks[1] % 2 == 0:\n",
    "            pad[3] += 1\n",
    "    else: \n",
    "        print(\"Invalid mode\")\n",
    "    return pad\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {},
   "outputs": [],
   "source": [
    "def conv(inputs, kernel, stride, mode=\"SAME\"):\n",
    "    ks = kernel.shape[:2]\n",
    "    # get_padding\n",
    "    pad = get_padding(inputs, ks, mode=\"SAME\")\n",
    "    padded_inputs = np.pad(inputs, pad_width=((pad[0], pad[2]), (pad[1], pad[3]), (0, 0)), mode=\"constant\")\n",
    "\n",
    "    height, width, channels = inputs.shape\n",
    "    out_width = int((width + pad[0] + pad[2] - ks[0]) / stride + 1)\n",
    "    out_height = int((height + pad[1] + pad[3] - ks[1]) / stride + 1)\n",
    "    \n",
    "    outputs = np.empty(shape=(out_height, out_width))\n",
    "    for r, y in enumerate(range(0, padded_inputs.shape[0]-ks[1]+1, stride)):\n",
    "        for c, x in enumerate(range(0, padded_inputs.shape[1]-ks[0]+1, stride)):\n",
    "            outputs[r][c] = np.sum(padded_inputs[y:y+ks[1], x:x+ks[0], :] * kernel)\n",
    "    return outputs"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<PIL.Image.Image image mode=RGB size=220x220 at 0x1A16EC1828>"
      ]
     },
     "execution_count": 7,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "inputs = from_image(\"./Lenna_test_image.png\")\n",
    "to_image(inputs, save_path=\"./plots/conv/lenna_origin.png\")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<PIL.Image.Image image mode=L size=220x220 at 0x1A16ED7EB8>"
      ]
     },
     "execution_count": 8,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "kernel_one_channel = np.array([[0.1, 0.1, 0.1], [0.1, -0.8, 0.1], [0.1, 0.1, 0.1]])\n",
    "kernel = np.stack([kernel_one_channel] * 3, axis=2)\n",
    "stride = 1\n",
    "output = conv(inputs, kernel, stride)\n",
    "to_image(output, grey=True, save_path=\"./plots/conv/lenna_conv.png\")"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### 卷积可视化以及三种不同的模式（FULL、VALID、SAME）"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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UfYmRsRLZQpYrt1ZZWUthsdZwbmpbEIuB1zbKxL4AF29OU26s7/ng6J27Wubdp5+0dpZjt9iZGJ4gntlbQsBGiRqXD4tR66Gj6BQy+QzRRJRkdu9trcfD4wyHZJ9GvDQk4Ijdq1a12ZDr8eb9xUs1ypUSDZ22JFco5SnVckweDHHr4QLR1DLhvtbsv2QycPactkQ4Nrr36+lVPcfHj1Oqlngw/4BK7cXZajul6BQcVm1Jzml1PtXWeidVo/1OP4dHDm9cQ4iXhAScV1X6cVUTp7Oz963XtaSEWExblpufb7DvQIn9B0qUq6WNh2sindjzUtP576BagQ8/3NuYj44dxaAaeLDwoOMVmmFT1WiHVjV6c/WEaDxKqVICtFbZk+OTeJwe2acRLyPJUntVXb2qZaj98R+37szMT34Cx45pv55FUcDr1X4BPHigo5g343Y8qdc1EhqhVC5RrpYpVUoUy0Xi6Tjr6XWyhey2xzM0CDdvact8Hs/OP5/RvlEC7gBTi1MksomdX6BFcsUcuWLuqb0io8GIy+ZiLDyG1WTFbrFjMBiwmqxdG6cQnSIB5yVSr2sJA8PDrQs2lYo2a6rVdvY+m00ryPl9JqMJk9GEA23/YTAwSLlaplKpUKwUKZVLJLNJYqkYmXxmy/YDfX3a+aHNZW62o5kQsLS2xMV7F3f25g4pV8qsJdewmW30eftkn0a8ViTgvERWVrTssmc1SduN8uOamNs5ILqZ1art82yHUW/EqDdis9gA6Pf3U61VKVeezISyhSyrydXHNctqO0o+sJltHBk9QiKT4NL9Sz3bQwfA6/RyZOSI7NOI15IEnJfIzIx2rqbZQ6YVSto2wo4zwmw2rRDnbjUrQlvNT5aS9vXvo1QpPQ5CJWbn88RSaxisCcqVH1aL1it6JvdNUqlWuDZ1bVvla7rFbDQzOT6J16G1HBDidSQB5yUyN6ctp+lb+Le22xnOBx9Aq39AVxQFi8myce7k8rdgMo7y0buP94XKj5MT0jHcNjdGg5H78/e7khCwXaqicnjkMH2evqeCqxCvI8lSe4kUi9qei6OFy/7r63D5Mrz99s73TNptagp+8YutD7h+PzkhkUkQS8V2lJzQbiOhEUb7RnHaOpxSKERnSVq0aK9kEm7cgDfeeHJep9VqNfiLv4D+fvjRj178+kq1srEkVyqXSOfSrCZXn5mc0C4eu4cjY9o+jV6VRQTxypO06FdJowH/+q9a7bTh4W6PRlOpwL17MDLSvoCjqtrnfOuWlhFnfcGKlEFvwKA3YLdoHS/7/f0cGDzwJAhVSmTzj5MTcqmWF+o0GUzaPs3j6tRCiKdJwHkJrK3B9LT2cG+1a9fg5k34j/9xZ6nWNi3hbNuZart1+LC2lLiNg/pbUlUVq2p9sn/i1Ur8lyolypUyxUpxo3lbPBPfMjnhRRRF4fDwYcLesOzTCPEcEnBeAjMzWjBoR8Bp7gvt9FyP2ayVstnqLE4rud3w6aetvebm5AQX2vRstG90I027VNGSE9ZT68TT8ecmJQwHhxkLj+GwOtC1sreCEK8gCTgvgZkZbdO8HSX7S6WdZ6iBFqAslvYHnKb1dS3ANSsdtJpOp9s4tNo0HBymXNEqahfL2qHVRCZBLB1Dr+g5MnoEl80l52mE2CYJOD0uFtMqAZw40Z7r7zbggFbPbbdLXTtRr8M//INWgeDHP27//TYzGowYDcaNfaGBwADVapU6dal7JsQOScDpcbWa9qAdHW3P9cvl3c+cfvM3WzuWZ1EUrXr0jRvbSx5oN30rD0IJ8RqRXrU9LhTSHuxm84tfuxsDA+3ZG2q1iQktW+/evW6PRAixWxJwelip9KQSQLucPKmdpdmNuTn4x3/ceeHP3XA6tZI+9+5pgUcI8fKRgNPDbt+GP/uz9gadvTy8i0WtO2enEgcmJrQgnOhexwEhxB5IwOlhMzMQCLQnOw20YPPf/htcubK79zf3UjoVcEZG4A//sH2ZakKI9pKA06PSaS0VeGysffeoVLSgs9s98E4d/mxSFDAYtP/uRHacEKK1JOD0qOlp7fd2BpzdVopu6vQMB7T9or/5m93PyoQQ3SMBp0c1l9Ps9vbdY7e9cJrMZq0SQKu6j26HqmqB7t49meUI8bKRAwU96rPPngSEdtnrDAfg93+/NWPZiYkJ+Od/hvn59p1PEkK0nsxwepTbrZ3BaSeLBSYnW9tfpxOGh7VZzt273R6JEGInJOD0oEuXYGmp/fdxu+G99/YWcK5cgZ/9rHVj2g5F0apILyxAJtPZewshdk8CTo/J57WHeCTS/ntVq9qvvSgWYWWlNePZiYkJ+Pzz7pe5EUJsnwScHjM7q/0+Pt7+e12/Dn/yJ3s7/GmzaenVlUrrxrXd++7fryURCCFeDhJwesz0tLbU5fG0/16lkpahtpc2Lp0+i7NZraY1kFtc7Py9hRA7JwGnhzSXp9p59mazvVSKburGWZwmRYE7d7Qq0kKI3icBp4dkMtoGficDzl5SokEbbzjc2bM4TTqdljywuKhVZhBC9DYJOD0kEID/8B/A7+/M/ZpLanvhcMC//bdaz55uOHxYCzzStkCI3icBp0fU650/OX/okPbAfplZrVpRz/v3pfKAEL1OAk6PePRIa0XQyXMlBw/CgQN7v87PfgZffrn36+zWkSPg80Gh0L0xCCFeTErb9IiZGa1qcztrp31fJqPVQ2tWYN6tahVSqdaMaTcGB7VfQojeJjOcHlCpaKfmx8b2lqK8E40G/K//1ZoML5utO2nR35fNdidbTgixPRJwesDCgnampFPZadCawp1NNlv3H/TlMvzlX0qKtBC9TAJOD5ie1gppdjLTa6+tCTazWrUN+2Jx79faLaNRK+r54IEWvIUQvUcCTg+YnIT33+/ccho8meG0IuD4fFqZmW5niU1MaEFvZqa74xBCbE2SBnpAKNT+VgTf18oltXBY+9VtAwPgdGptC/bv7/ZohBDfJzOcLpuagtXVzt/X6dRmVS5X6665lyKgrdCsPBCN9kYSgxDiabrGzp4SXX6kvFrqdfjTP9W6Vn76abdHs3v1OvzP/wlvvAFvvtndsZTLWpq2tC0QomO2vRkgM5wuWlrSHpCdaEXwffk8JBKtmZUoitYmoBdmFUajBBshepUEnC6amdEekAMDnb/3nTvw13/duuv1Qmp0U7EIP/0pPHzY7ZEIITaTgNMl9brWbG14uDtNxFrRC2czq7U3ZjigVU/I5bSgKoToHRJwuiSd1oJOJw97btaKXjib9dIMB7QU6WgU4vFuj0QI0SQBp0vcbvjjP9YqHXdDqdSalOim4WGt+nSvOHhQ21u6e7fbIxFCNEnA6SJF6U7jMmj9DGd0FE6fbt319sps1pIxHj7UstaEEN0nBz+7IBKBr76CX/kV8Hq7M4Z2pC+Xy1oA1ffIv6rJSa2pnRCiN8gMpwtmZrTKxg5H98bQ6pL+sRj8j/+htXvuFYGAFnR6JQAK8bqTgNMFMzPaw36vfWj2YnlZC3qt0jz70iuZak21mlbQM5Ho9kiEEBJwOmx1VXvQdys7DbTsuJ/+VHsQt4rFoqVY91KmGmj7N998A7dvd3skQggJOB02M6Ptc3QrOw1aWym6SafrrbM4TSYT7NunJQ9UKt0ejRCvNwk4HdbfD6dOtTYleadaWSl6s147i9M0MaEFm0ePuj0SIV5vsp3aYUND2q9uamXztc2OHu1emvfzhEJaNuCdO1o1aSFEd/Tg4+HVFYlAKtXtUTwJOK2e4Rw4oC1f9aKJCe335uxOCNF50p6gg/7qr7TN9d/4je6Oo1jUkhdCodYGnWpVK9njdvfeTKfR6GxHVSFeI9KeoNckk1pqbjez05rMZq0UTatnONPTWgXqVqZbt0oz2DT75QghOk8CTodMT2u/j452dRiAFvjm5lrfobN5FqcXEwdAC4R//uetTQcXQmyfBJwOmZnRlrBstm6PREsR/pd/af0SU/Nz67XU6Ca7XWupLQU9hegOCTgd0Oyu2QvLadD6wp1NvVptYLOJCVhf1/awhBCdJQGnA6xW+KM/6p2U3HYFHJNJq1vWq0tqoGXSGQwyyxGiGyTgdIjJ1J6H/G60uhfOZh991Lup0aAFm/37tUOgUnlAiM6Sg59tls3CL34B773XO6Xym+2l2+HAgfZct5VOnIBjx7pbPFWI15EEnDabndUOfPbK7Abgk09an6HWlM1CJgPhcHuu3wrdbAshxOtMltTabHpaK6vicnV7JE94PO1r/HbrFvzTP7Xn2q2Uz2szz2i02yMR4vUhAaeN8nltdtMr2WlN9+5pmVrtYLVqByt7vYSMwaCdRbpzp9sjEeL1IQGnjWZntd97KeDUavD11zA/357rvwyp0aAFnAMHtBlos7acEKK9JOC0kdWqZUS1a/lqN9rVmqCpefizl1OjmyYmnnQEFUK0nwScNhodhc8/7/Yontau1gRNvV5tYDOfD4JBOZMjRKdIllqbpNPaLKKbjda20okZzq/+Kvj97bl+qx0/DrGYNtNR1W6PRohXmwScNjl3Tut98+//fbdH8rR2z3BUVatE/bIYH9d+CSHaT5bU2qBchsVFGBnp9kh+KByG3/s9bTmpXVZWtM//ZdFoaEkUxWK3RyLEq00CThvMz0O93lvZaU16vXYOR9/Gue2VK3DpUvuu32rJJPzsZ5I8IES7ScBpg+lpLUMtGOz2SH4oEtEOZ7ar0gBo+zgvQ5Zak8cDfX2SPCBEu0nAabFqVVtOGhvrzZbG8/Nw/nx7x2a1agHnWUGtWCyxsBxhZn6RyGqMVDpDucuVNCcmtD235eWuDkOIV5okDbSYXg+/+7u9GWygvZWim2w2bUmxWASL5cnHa7Ua8WSam/ceEFl7UupAp9PhdjoIBwN4XA4sZjNmsxGbxYLaodSxsTEt0ePOHejv78gthXjtSMBpA6ez2yN4tnZWim7aXG2gGXBS6Qyzi8vceThN43tTn0ajQSKVJpFKb3xMVVW8Lhf9IT9Ohx2L2YTZZMJqMaMorZ+Y6/Vw8KBW7qZehzbcQojXnu773/wv0MaV/5dfrQZffQWTk73TiuD7/vEftSy63/qt9t2jVNKqRrvdUK6UWI2tc+nGHUp7LLBmNBgIeL30BX3YbFYsJhNmkxGb1fLiN29DpaIFnl6dnQrRo7b9HSMznBZaXISpKe0n5V7Vrm6fm2mdP2usJ9PcuHOf1fV4S65brlRYikZZ2lTi2WoxE/R5Cfp9WC1mLGaTtiRn2vkn2eyPU69rQUcCjxCtJTOcFvryS21J5o/+qHeXZMpl7YFqNrfvHsl0hl9+tcbK2gxub+crYzrtNvoCfvxeN+bHAchqNmMwvPjnq3gc/uEf4LPPYHCwA4MV4uUnM5xOq9e16tCjo70bbKC9s5t8oUg0ts6Vm3f4+b8G8AesXQk46WyOdDbHg5k5AI4cGGewL0gkto7DZn88C9L2g76flOByadl1d+9KwBGi1STgtMjysjZ76MXDnptduKA9SFuZiVWr1VhPJLl2+z6xRBIAs6lGudTd4mRup4O3jh9hKbLKP39z/qk/0+tV/G4PfUE/DrsVi9mMxWzEYjZz8KDCrVtaanczAUIIsXcScFqkWtUKVvbyT8XVKly7ps1yWhVwkqkM0/OL3Hs089THjaYapVJ3/nkpwDunjqPqFL7+7sqWZ3yq1RqRWIxILLbxMZPRSNDnwWoJsJ5wc+GSjrffNmBt5/qjEK8RCTgtMjqq/eplrawUncsXiK6tc+XW3S0f6CZzjXSq86Wyx4cG2DcyxM17D4nEdtbWtFQus7ASBaKsJYP81f+rJ1lI0Of3EfB7sVqe7AcZjYb2fAJCvMIk4LRAqaRlOPXy3g20plJ0tVollckBDXQ6CAf9LKxEqdfrT73OZKpRqSgdO9NitZh59+Rx4okk/3Lm/Ivf8AL7DiSp13XkCyWmFxaZXtCqkeoAp8NOX9CPz+PW9oNMWiDaTlKCEK8z+Q5pgUuXYGYG/uAPejvo7HWGk0ileTS3wINpbTPeYbcxEPTz/qnj6FU9ik5HKpNlYSVKpZJkYCjbka/HW8ePYrOYOX/1OvlCa5IUXO6tzww1gFQmSyqT3fiYoih4XU7CoQCyN7EHAAAgAElEQVSu7x1S7VSlBCFeBhJw9qjR0IJNKNTbwQaeBJydznBy+QKRtRhXbt2lUqlufDyTzXEvm4PHAUgHBLwewiE/h/eNoqoK9Qasx5PMLS2TybW2omc4FODYwX3cn5phfiX64jfsULGoMj/rYHg0g9lce+br6vU6sURyI2FCURQ+On2SRDJJrlDGbrM8TkowteyQqhAvIzmHs0eRCPz932utpPfv7/ZoXqxW0w40bic4VipV1pMprt66+1TZme0olxUW5x2EwyUO7ncSDgawPC5LUylXWV5bY3EpQrlaffHFvsdoNPDeyTfIF3JcvnWPer09/yzzeT3nz4QZ25dibN/2Pv99w4OMDw9y9fZdYonUU39mNpkI+jyEAv7Hh1TNGynaQrzE5BxOp8zMaA/vl6XL5XZXeOLJNFOzc0zNLuzuRg2YnXZiMCSw2FZZWFnd+COrxcRAMMBbbxzFaNCjKArZfIGlyCrLkdXn/lQzefgAAY+byzfvkMrmdje2bbJaq3h9RZYX7YyMpZ8bpC1mM++9Ocl6/Nl7SMVSifnlCPPLkY2P2a1WQgEfAZ9nUwAyY5KkBPEKkoCzRzMzWip0u8vFtMLcHCwtwXvvPbtsSy6fZzka4+rte1R3MftoMhjr6HSNLc/i5AslHs4t8nDuSVtQr9tBfzDA+NAAer32nvVkmoXlFRKpDD6Pm5NHDzG3uMwvvr2463HtVP9gllvX/azHzASCW7cEPXHkIB6Xk++u3iJXKOzo+tl8nuxcnkdzWmDX6XS4HHbCQT8etwur2YzZbMJqNm98XYR4WUnA2aPPP+/9vZumlRW4dw/ef/+Hf1apVIklkly5eZdUJrPne+l0YDTVKW7z8Gc8mSGefHJfVdER9PvYNzzIYLiPaq1KJldAUVTMZhPFYmcqGPgDBYzGGsuL9h8EHJ/HxZvHJpiZW+Danda0C200GiTTGZLpTV8LVdEqZwcDOJx2rWip2YStTZWzhWgXCTh71NfX7RFs37MKd8aTKR48mmV6Yaml9zOZqruuNlCrN3DYbLhdDs5cvEIskcJkNBAO+jk5cRCT0YiiKhSKJZaja1umZreCosDgSIZCXk+j8Xj/C3j3rTegAV9+e5FK9dkJBa1Qq9VZiydYiyc2PmYw6PF7PISDfuw2q5YZZzZhs0hSguhdkjSwB5cva4c9fb5uj2R7fv5zSCTg935P+/9sLs9SdJXrt+9TrbX+oXnzmp9CQc/b70Ve/OJNnHYbp984RnRtjVsPpp/72mZqtt/neSo1e34lwtp64rnv3Y2R/jAH941w4+4DorHWVMFulXdPTmKzmMnki5sqZ2sp2kK0kSQNtFs8rgUci+XlCTjN5mvlcplYIsWVG3dI59q38X50MoaywwnOuycnMej1nL14leI2+uc8KzW7P+TnyP4xdIpCo9F4nJq9suvUbLPRyMHRN1DUND//5nxP/eTldbt4c/Iwj2YWmFl8uke2w2ajL+DD73NjMT0OQhYzRoMkJYjOk4CzS9OPf/Du9XI2TYWCluCwFiuRzM2SLS7icJbRt/FfwE6CjTZzGOb2/Ucsr8Ze/IZnaACr8QSrm5efVJW+oI+J/WNPUrMrVVZW11jYRmr2sUP7qZV9/F//dZ2DE0sEgrseXsu9e3ISVVX46ttLWy7tZXI5MrkcD2fngWe387aaLZKUINpOAs4uzcxAOPzyVBNOp1LE1jJAheW5AIoaIh/XoRryeIMLGC2xljcey6QNLMw7GN+feubBSYvZzLtvTpJKpfn5N9+1ZeZQqdVYWPl+araZgaD/6dTsXIHFqJaaDU+qTS8srXD30XdAP0sLdgLBnWWitUPI7+P4xAHuPHjEUnRt2+97Vjtvn9tFOOjH4bBjbXM7b/H6koCzC8mktheyVbZXL1lchFu3yhw+uMK35y/QF8ygKA0qFZVMxkw6b8NoGuDUCQ/j4/1EV418+aUBRZ+iVI9gtRVwukqYTLvbjK9UFCLLNsL9uS0DzpvHJnDabVzYRTrxXuULxWemZu8fHsTtdKAoCgsrEVbjSRRFS5GeeeSiUFCxWNqbKPAsiqLw/qk3qFQq/OLsd9RacOi1Vquxuh5/qjNru9t5i9eTJA3swvy81t3zd34HbLZuj+aHslk4e7bOzRtZEvF5QsHLmM0vPlOTyxlJJPswmQdRVD+KYkBRFD75IkmuGGFqOkmlouBwVlDVF/9TyOX0fHc2zJHJdfrCT/ZOmj+dP5yeY3ZpZU+fa6v1h4IcPTjOnftTrMTihPxe+h9nghULKn/zt0bC/evYvDMdS81uGukPc3B8hGu377H2uIxOJ7Wynbd4pWx7TUQCzi41U2R7Sa0G16/DubN51mPr1GtXCYdjKMrO/9rqdR3ZrIlMxsIbbxgY2zfE9EyYqUcmdDodelOWSm0VvTFNX39uy69FtaLj618Osv9gkuHRDEa9nndPvUGxWOTyzbvU2pDGvFvNseXzea7cukf9Gd8Xd2/2YdR7+MM/0GMyGVGU9qdmG/V63n/rBJlsjiu37vbUN6HX4+SDUydIZ/OoqrKjdt7ilSEBp106VW5/N3LZIn/y3zOsrNymLzS3rVnNTlQqKum0hXzBjsk8gKrvw2Y38ru/W6FSrfDlNzmWo3Fs9gJOVxmjsc6XPx9kYDDLb/2mjz6/j8u37pBMZ198sw46vG+Ugb4gl2++eGzFgorBWH9qhuew2xgM+fF5W5+afXB0iOGBMJe2MbZO2zc8yNhwP5duPBmbotPhdjnpD/pxOZ3PbectXhkScNrlxg24cwd++7d7o5xNOg1XrtQ5sH+N2zdvMjW1gF7fmZlDowHlsh6TqYrD4SCyOkmxFEBRtE14vaHI1HSNX/81K30DC9ydmu+pYO2wWXn7xCQr0VXuTM28+A3btLlqttvp2FVqttls4v03j7O2nuDm/amWja0VmjOuZCrNtbsvrrCg16v43G4tKcFu2whCFrMkJbwiJOC0y9/9nbZ09du/3d1xNNtFnzuXYz22jtN+DoejvcUst6NW05HNmsnlbRw+8hFud4OjR4voFJW/+WszdbKU6hGM5ixOVxmrtbWzsO06ffwoFrOJC9dubeu8z2appJF7t71Mnoxte/zN1OxwMKA9aNVnV80+dmg/Aa+HC9c6n0zxItqsZoCL126Tyu5+xmUyGgl4PVpSgvVJpQRp5/1SkoDTDrkc/MVfwOnTcPJk98YxOwtf/rLE8nKGbOYG4b4FTKbuPLi3MjFxiAOHDnDxwiVWHldGrtV0LEfCmEwDKGoIVTWiU1QmjhTwBpeZXVwlvm7A6SpjMLRvhhbyezk+cXBPPXRKJYWzXw0wPJpm/8HUi9/wDM2q2QG/D6NBj6rqsVrMxOIJvr1yY9fXbQejXs/7p0+STKa2NavZDZvVoiUl+LxYrebHCQkmSUrofRJw2uHWLTh3Dn7/98Ht7s4YarUaf/Hnae7fm8flvIPb3dqmZnvhdDn5+JMPiKyscuniZQDW1hxEoi4mjz1JP67XIZ83kcmYGRg0cux4HzpdP19+aUenKKiGAjXWQI0TCOZ3nZa9mV5ReO+tNyiXK1y6cWfPCQs3rvlJJUx88PHSjqspbOXNYxPYrRbuPZol6HPjcblQVQWdTvdU1exu2DcyyNjQ3mc1O/VUO2+3a2MGJO28e46UtmmHmRnweDofbJrLZ32hBNHIDNn0LYYGKz21H/LRJx9gs1n5xb9+RX7THkW5rCeRtFGpKBszF0UBu72E3V6iXoMbV9eo1W5B3UImbcVg7EevD6OoA5yaqODx1bhzN8PVm0nMlhxOVxnzDs7BHBgZYmQozNWb91lP7X5GstnAYJbYqoW1VSuh8O6DvlZx+jBT0/NcuXUX4KnzMIqiEPJ7GRsc4PhhK4qiUqvXiK7FmVteaWtqdnNWk0im+PmZ79p2n2d5Vjtvj9NJf1+AsaEB7LaX5OS1AGSGsyOzs9pG+dhY5+45PQ1ffVUik2ngtN+kXOqtpZbR0WHeOHmc69duMjsz94M/X4s5uHuvn1MnZ7DZdrZXUizqMRqrWKxm6vVDRKLDKKoBRVFR9GVQ44T6H6HoG1umqVstZt49eZy19XjLN94bDfj2TBizucabp1df/IYtvHtyElVRuHDtFpUdFE9tVs0OB/xtq5q9f3SI0YEwF6/fbnuju50ym4y8c/I4QZ9XZjq9QZbUXnbJJHz9dY3797IkE9OMj0c5cTKIz+9Dr6rU6w0ikVUePZwik+l8uqzFauHTzz8mnUpz7ux3NJ7xkEulLFy/Oczk0QU8nr0t/zWX4tIZCxDE7gjze79vQq/X8+15E3OLJWqNNXRqgg/fGWFo0MKlm7fIF9ozC4iuaD9d73SGEwr4OH74ALfvT+2pbtxm36+ardPpSGUyLKxEd5SabTTq+eDUCeKJFNfvPWzJ2FppbGiAiQPjuJ2Obg9FPCEBp9WmpiAYBKezM/f733+f4dLFGIpylVAw8YPlM4PBwNDwIEPDA1gsVhRFIZ/LMz+/wOzMXFsOIDa9/c5b+AN+zn7zLakXLFEViwYuXBrn4IEIfaHWLGdtZSXqQVFGsNlG0Rts1Gp1rPYiJ08vMb+8wmpUwWKttmQ/aLcUReGDUycol8tcvHmbegvK0jzL91OzFUWh/oLU7P0jg4wO9vfkrMZg0PPOieOEAj5pv917JOC0UqkEf/ZncPw4vP12++7z6BEYDXlKpWW++vIShXwRo3H7Sy1uj5uR0SGCwSB6gx5dA1ZX13j0aIZEfO+9YUJ9Id557zQP7j3k3t3723pPva7j8pVRhofXCQXTL37DLimKwmdffEKj0eD/+6cLJBIqFouF0+94GBwa4O/+zk21qqLoSzR0cSqNVby+Ig5nZU/3LZcUVpZtDA1nnps8oJWlGebq7XvEEu0LvM+zZWp2pUo0FmewL0A8keT6vd468wMw2Bdi8vABPO4O/bQndkoCTis9eKDVTvt3/w4CgdZfPx6Hb76p8eBehmr1Lj7vnZZcV1X1DAyGGR4Zwm63oSgq5VKJuflFZh7NUH1BWf4mvV7PZ198QqVS4czX31Kt7u0h3WoHDuxn4uhhLn53iZWVHzZ7azQgkzWTyVhQ1RB6wwCK6uTYZJ2Tb9aIrqX4l1/kUA1pXK4SVlt122WL4usmrl0O/qBeXFPzkGQ6k+HK7e0F6U46emCc4YEwmVwOvao+VTV7JbLa1W94VVU5ffwo/aEAZrM0kethEnBa6Wc/04LCH/xBa69bLmtN3L47nyMej6JXrhIKJdtao83usDMyOkw43IfBoEenU4ivJ5h+NMPq6g83vyePH2N0fJhvz35HbG29fQPbBYvVwmeff0I8Huf8uQs7em+5rE1HrFYFp3uYhw8PoVO1k++KWkenJnF457A7nr8/02jA+TNhjKYap95++ut3cGyY4f4+Ll6/09F04u14slfzw1lNs2q2x+VC1avo4HFqduSptgbtFPT5OHnsMD6PqyP3E3siAadVymX40z+Fo0fhvfdae+1vzxX4+c/TFAvX6Q8vYzB0vuS9TlHoD/cxNDKE2+1EUVSq1SrrsTgDg/3Mz81x7erNPd1jZiZAsWRg4vDyi1+8TW+dPkWoL8A3X58j3YKHYKMBhYKRTMZMtebFZBrkRz+20j+gsrRk4MzZBnVlnRoxXK4SDkd5YwltbsbBo4du3nl/BZu9+rgszRusxta59eDRnsfWagdGhhgeDHNpm3s1zdTscMCPw67tF9bq9bakZiuKwsljhxnsC0krhJeHBJxWWV6Gf/xH+I3fgL6+vV9vfR3y+Sqqssr5b68yO5PAbu9smfvnURSFL378GSajkUKhiMFgQFEV0qkUM9NzLC3uPGg8eNBHPGHj3Xf2/vD1+X188OG7TE1Nc+fxuZV2S6UsFIrjGIz96BQHOkWHouj48JMIq4lllpdrnD8TZmx/it/5PwP4ve6eLEujzWpOsh5PcGOPaeJPUrN9mIymlqRme1xO3nrjKD63S2qsvVwk4LRSuQwGw97aEZRKcOkSXLiQpVRYxuc9ww6/9m134OB+Jo4c5vLFKywtPR1YgsEgI6NDeH1eFFWhXquzshxhaurRUwc9tzI752dhwceHH9zf9ddQURQ++exDVFXP11+doVza2ZmeVimXVdIZC8WSnY8/sjA8MszlKy5+8hMHP/ox/NZvJfj28nWqPdR6AbSq00MDYS5cv02mTRlo30/N3m7VbJ1Ox/HDBxgd6sf2srTQFZtJwOkVjYaWdPDVl0Wi0SSlwnXC4eW21gvbKbvdzieffcjaWowL5y9t6z0Go4HhkWGGBvsxWyyoqkI2m2N2dp6FuYWnfsJdXnEz9SjEu29P7Sjrrql5uPTypassLizt+P3tFFu3U6p8RCZrZ9/hR7z7jpHApgduIpNlYTlCrAVZgrthNBr54K03WF/f+6xmp7asml1vsJ54kprtsNl4++Qkfo9L2he8vCTgtMLsrNbQ7Ec/2n1nz6mHFf72b3MkEvcJ+B721PIZwAcfvofD6eDM12fJ7vEnX6/Pw/DIMMFgAL1epdFosBpd49y5CN9dcPLmidkdff5Gk5EvfvQp6VSGc+eefbi0G8pllVj8IHbHJKXKGr7+aZyup2ddOiDo8xAOBXA57FpZmkad1bU4c0srFIrFto7x4NgwQ+E+Ltxo36xmpzanZvcFAzTQ2kSIl5rUUmuF6WlIpcCyw73LYlHbq3E40hgMSXRcZGyk8y2Bn2doeJA3T53g1o3bnD3zbUuuGV9PEN+0dKKqegaH+nnr9H7sTg+n3hzHai0wP7/IzPQMteqzZztvnDzO0NAgZ8+cIxHvra8dQCj8Bdmijbr+JiPjyS3r2jWA6HqC6KavidFgoD/o58TEgafK0ixGVlmKrLbkwG5zVhNbT/CvO8zea7dKrUYskWb/6ChmkxG9Xh5BrxOZ4TxDraZlp+3bBx9/vL33NBpw7x58/VWReDzO6Mh5hof6CA/0YTAYtMq/sQSPHj3qWoqx0WTksy8+IZ/NcebseRq1zs4anE4nI6ND9IX70Ou1EiyxtXWmH00Ti63j8bj58OMPmJ+b5/q1vWXHtVqxqCfYN8jnX7zBtTvTzC0lsdn23hbCZbcx0BfE53FvpCEnUhnmllZ2nIZ8cGyEof4QF67dJpPrjVnNZgfGhjk4PorLYe/2UETryJLaXs3Pa+dvfu3XYGjoxa9fXYUvv6wyM50hmbhPMPDwB8UqdYpC/0CYkeEhnC6t3Ei5XGZ+fpHpqe0fxNytU2+9SV84xLkz35JI9MasQacoDAyEGRkZYmRshEajQTKRZGZ6julHM5R32BytHRoNiKx6MVs+wumq4+m/3NayNIqiI+Tz0h8KYLdpacjVmlYhenZpZcuviclo5P3Hs5pe6xAK2vjeOTFJ0O/B2AutckUrScDZqy+/1PZw/viPeWEbgFQK/tt/zZBMrGAyXiMY3H7fErvdxsjYyKaDmDrWY3GmpqZZj7VmFhQMBXn3vdMdTSX+vus3hrHZiuzf98PDpYNDA5w6fZIbV28yMzOH1WZldHSY/oEweoMBVVFIJJJMT88SWf5hJYF2yueNZHInsFhHKdbm6R9e3FFrhFYxG430h/z0BfwYjVrF7Fwuz2J0FbvVwmC4d2c1IwP9HD24D7dLCm6+oiTg7NWDB5DPw4kTW/95vQ7RKNhtGRbmF/j7v7+Py5lAVff2JXryE/8wDqd91+VoQCtJ8+nnH1Ov1/jmq3NUKt0rSXP12ggGQ41jR580YjMajXz2xccUCkW++ebcc5f3QuEQoyPDeLxu7eBhrcbS0gqPpqYp5Ntz3qVQdFKufEG1XsHkvEtff+80uwOte+k7JyYpFItUajV0QCyRYn5p5akeMt2i1+t5+8Qx+gI+zCYpTfMKk4DTTpEIfPVlhbm5LH2hMxQLu+uHsl12h53R0RH6wqGNcjSxtRiPpmZYX996FnT06BHGD4xx4duLRKPtHd923L4zQLFo4NSbswAcmzzC2L4xvj1zntguZnIms4nh4SEGhwYwmU2oiko6nd5Iy96LWk3HiRNHGNk3zk/+ZhFvYBVjF6tMb+XQ+CiDfUEuXLtJ5nHA1asqIb+X/pAfq8WCoqhUqlVWVteYW4q0fcl2s/5QgOMTh/BKwc3XgQScvYhEtK6eZvPTH8/n4cIFuHwpQzK5hNl0g4C/821/dYrC4ECY4dFhHA47iqpSKpaYn5snnkjw3nvvsrS0zNXL1zo+tmeZmgqxFnPwf/w4yseffcTy0gpXLl1t6T38fj8jY0P4/X5UVaHRaBBZWWVqmz2DajUd0dVBfIG3effDCA/npls6vlYwP96rWY3Ft1U2x2oxMRAMEPT7MBj0KIpCOptjcWWVyFprevFspioKp44fob8viPX730DiVSUBZ7caDa0VwcAAfPHFk49Xq/An/73AykqcSvkaA/3RPS+ftZLT6eBXfvVHQINSsUS93mBtdY2pqemWtCbYq/l5H6rxbf7Tf6px9pszL6xO0AoGg4HBoQGGhgewWm0oqkI+V2B+boHZmdmnUpCTSSu1xnuoBg9VZYrB4VX0ht75+4WtZzW74fO4GAgFcLucKIpCowHr8QSziytk87v/ewl4PZw8NoHf2+Ee7KLbJODs1vIy/PSn2mHP8XHtPI3NVmRtdY3/529v06ivYrH0Vnn+8X1jTB4/ytUr15l/vJykUxUGBwYYGR3EbnegqDpKhTJz8wtMT09Tr3ZuiagvHGJo+B1++cslzMar6PXdW55ye1yMjAwT6guhqiqNOvziyyrr6z6KlTju4BQeb28dzn0yq1nn1oPWz7oMqko46Kcv6N/ok1MuV1iKrLK4HHlhmR6dTsfJo4cZ6u+TgpuvJwk4u3X2rHaW5nd+R2sdcO1qhsGB26SSt7s9tB+w2qx8+tnHxBMJvvv24gtP4jucTkbHhunrC2lnYHjcoG1qui1p0ope4YvPP6VarfL1V+eo1Tq3h7BdH33yAddvhtDrC5x+W8Vo1JqSLUVXWViJUH3O4dROOLRvlIGQNqvJtik5Yit2q4WBUICAz6v9W1F0pNM/rIvmdjo5/cZRfB4puPkak4CzG83ltFwOGvUCa2txapWrhMOrPbV8BvDeB+/gdrs58/U5Mpnd7SPpVIWhwQFGRoaw2e0oikKxWGR+dp7p2dk9zYIOHT7IocMH+O78JaKR6MbH6/UXp5m3W7msEk8e5A/+8CCR9XnmliJPFRW1WswMBAOEAo8ftjqFVCbD/HKEWIeqHphNRt4/dYLVWKwts5qd2qiL1ufH7XCgKCo6RYfdasUupWledxJwdmN9Hf7zf65iNORxu24zMvwQm623ls8GBsKcOn2Ku7fv8vBh63utOF1ORsdGCIWCT82CpqYekdxGa2Srzcqnn39M7HuFQKtVhe8u7GN0NMZAf/f2lKJRJ0bLJzTQY/Xcwh98cTKBDgj4PPRvqommHcRcf+ZBzL04vG+U/lCQ767e7LkWBwB2q5V3Tk7i97ql4KYACTi791/+S4nFhTIOR4lyuYDLOYvT8YharUalonStyvPmMytnvznfseUpVdUzMNTPyPAQNru28V7IF5mfm2dm+umN97ffeQt/wMc3X2096zpz9iAD/QnGxtY6MvbNikUDidQRbPZDFGvLhAbn9lSWxmw00h/0Ewr6MRkNKIpCJpdnYSVKZHV32V/NWU10Lcbth92f1WxlYv8Y+0eHcdh3Wc1WvIok4OxFNqsd6oxGweetEAhkiK0V+MlPVKq1dWrVFUzGJE5nAYul3NaW0AAn3nyDwcEBzp09T3w93t6bbYPL7WJ09PHGu15Fr+qx2a08vD/F5eekOl+4OI7TWeDwoZUOjhZUvYrb+6s8nFLR2+4RHsi05e/M53YxEPLjdrtQFUXLFIwnmF1cJl94fmXow/vG6A/5+e5q7zVuAzCbTLx78jhBv0cKborvk4DTaoUC3L+vndGZnS2QSZcpl0pMTERpNB6xspIinzPicBRatt/jD/h4/4N3mZmZ4+b1Wy25ZitpTdE+RlV0TE/PMjDYj822Of14ntmZuY1Z0PUbw+h0DY5P7u1g5nbl8kbGxsZ578ODXLrxgOhatqNlaQx6lf5ggHDQj8lkQlEUCsUiS5FVllai1GGjHXVkNcadqd6c1ewbHuTQ/jHcTilNI7YkAafdkkltBjQ0BKpa4vLFAl99XaNcLlGtrFGvrWCxpPH5sjsOQIqq8Nlnn4AOvvn6bNe6Wz5PMxX70oXLLC39cMbi9rgYGR0mFNJmQY1Gg5/+7yL378c4OnGnrWOr1yGy2ofN/j5WewFPuHcOwLrsdgb6Avg8bhwOG0aDgcWVKA+m50j3SM+aJqPBwDsnJwn5vVJwUzyPBJxOK5efLMMtLdVYWCiRy5X4jV9fJ5lc48qVBLG1Ig5nAbut+MxMrcMThzh4aD8XL1xiZTm69Yu6yGw289mPPiGZSHJ+G6nYTaqqR9Hvx+Ua4K231MezoDxzM3PMfa9D6F6kM2ZK5dMYzX1UGjP0j6xgNPZWWRqz2cQHb77BymqMBzNzhPxewqEANovlyRmY6BqLSytda1U9HO7j6OH9eFxSmka8kAScbqvXtSrSHo/2/z/7WZHbtyqUSloyQq0aBd0KQwNanTOn08nHn35AZGWVSxcvd3Hkz3by1An6+/s48823pJIvzlh7EbfHzejYMMFgUDuESYPVyCoPH2yvFM33VSo+CqXPKNez2Dz3CQTb21FzNyYOjBMO+J67V2OzWBgMPz4Do2oVxJNprT9OvAVf9+fRqyqnTxwjHPRLwU2xXRJwelE+/2QWtLxUo1LJ88H7KeqNBteu+bhx7Sq12gpOZwGrtf3JCNvl9Xn48KP3mZ6e5daNvR2ArVRUVLWOovzwn5Jeb2BweICRkUEsFiuqqpDL5pmZnWPhObOgSkXhvQ9PEgz28X//3Rz+YLznytI8mdWscXOjQH4AAAptSURBVGdqZkfvVXQ6Aj4vAyE/Drttoz/OSjTG/NIK5RYV5ewL+Dhx9DBet6sl1xOvDQk4L5uf/xwePSqSSZcplUpUKnnsjlncjmnq9Tq1mq4rh08/+ewjjEYDX391llJxbyVfkkkrN24NcfzYAm739mp2eb1uRkZHCAQDqHoVHhfkfPhgikQiTyw2ji94kpOn55hb6Uwywk4dOTBO3wtmNTtlNhkZCAUIBfwYNxXlXFiOEt1h9W1FUTg1OcFAXwirRQpuih2TgPOySqefzII8njJ9oQyxWJ6//Es9lUqMRm0FkzmF01Foa0234dFhTr55nGuXrzO3x3L/TYWCgYuXxzl0cIVQcGetk5v0egPDI4PolFGmZ/oplXQMjaSxe+aIxrrfhmEzi9nM+6eOsxLd+axmN/weFwOhIG6XVgmg1qizuhZndmmZ4jN+WPC53Zw6fgSv2ymlacRuScB5lRQKcOcOrKzUmZ8rkcuWKJXLHDqwDDwiGs1QKBhxOIpbLlXthHbA9BPyuRxnzpzfdlLAdtRqOs5+e5Cx0TWGBnd3nqhe1xFdncDmOEapsop/YJqhQRODfUG8bheKotIAYvEEMwtLLzz/0i5HDuyjL+B9XC2gO2MwGgz0B/2Eg36MRqO2RJkvshiJshJd4/jEIYYH+7BbpTSN2BMJOK+qRgMSCW0GNDwMOl2e69eK/PKXdcrlErVqlEY9gtWawePJ7WgZbvL4UUbHRjh7pn0HTM9+e4C+YIp9W7SafhFFUfjk8485f8HBSmyK/qHkltl+zerH4VAAs8m08aBdiERZjrR3FtTpWc1OuZ0ODo2PEA4FMRkNUppGtIIEnNdJsagdSI1GYWWlxsJ8iXy+xK//WoxEIsr1awnW42WcjgJWa+kHD2mXy8VHn37A4vwi167eaOtYL10ew2YrMXF4edvvKRYNZLJH+Q//cZS55YdEYjsPhm6n/elZUEOrAjCzsEyh2JoZyJED++jze/nuWvdmNS9y7OA+xoYHpTSNaCUJOK+zWk2bBfn92v//0//f3p38tnGeYQB/xH0xd4rUatWRLFm7zRqW46Y9Nu29/Qfyn7WnnHrpcgnQFkUvDgrYsNJYhpfIFpfhvoizkTPDHkZSnUByTJv8OFKe302AIH0X4dE78/F5/6biv9/2oWs99PsKTKMEoIzFhSo++9UDhMNh/Ouf/4YqoFJFKsfg8ZhIp3782vNgAJTLaQTDn8EcWAgnv0FqejRnPGsByE4j4PPB5XZBllUclcooVobregsFA/g0t4NiuYKnLw5Hcr5RCwUD2Luzg0wqwamGRo2BQ9/X7f5/CioUDPR7Gn7z2x4sy8If/3CERr2GgP+0H27yDdmy4oMs5xAIXYduvsbs9cLYa2kS0QgWZjJIxKNwud0YWANU6g18l7/4pfvm6jKyKWdPNaufLOHmjSXEItcmfRS6mhg49G6DAc4+5/PVV8CL5yq6XbsfrtfvIhw6RCJ+iMFgAMua+ujLCKcMwwVN8+LatYuvWPv9fsSSn+PpMxP+6AFmZse/jvo8Xo8X81l7E+bpFNRVVBwVJbSPu46favw+H+7ndpBJJeH1snCTxoaBQ8MZDOxmhNMpKB7TsTDfRa3exZdfeux+OEtCKNRBNKLC7/+wDxsWigm8fJXBp3sv4PV+f2LpHAewsXkLubuLePjoAM2O4rhammQ8grvbm/B63NB6BgzDQLnWwGGhAE1zTufdjYU5rK8us3CTRGDg0GioKrC/DxSLJvJHOmRFR0/vYXm5ANfUS9RrMjTNi/A7+uHeVq1F8PRgDrnbh2dTjmlOoVJZRChyD8FwG8k55zVjA/Z7kAe5HeSlCg5eHgIAfB4v5rLpk0ZoH1wut70XpyhBqn7YXpyP4fV6cO/2Nmam7T09RAIwcGj0LMveilouA0tLgGtKxv4THX//h3XSDyfBssqIXOsiFlPOvZLd6QTw+MkStjbySCZlNFshWHgAtzsOw/0cC9erjqulAYDN1RVkUgk8fPwEivruxoVUPIb5mWnEY1G4Tz+AWanjMF+ENuLtoG+bn8lgZ32VhZskGgOHxFBVoFSyH8UVCgaKBR2a1sPnv66i2Sxhf7+JVtNAJKoiFOxB1z34+j/LWF2RMJ0JQ1Z/Ad1oIpF9jnjCOY+kTtlTzS7yUvlsqhmWz/vWFOQ7nYLkkylouBqa87jdLtzd2cJ8dhqBAAs3STgGDk2GYdhTUDZrf/3Xvyj49qlhX0bodWH0S3j0OIgvvojj7p4Pf/rza2RmWnA58Kbu1toKppNxPHy0D+Uje+R+KJWIYSFrT0EulxumZaFctacgfYgpKJNK4s7WLaQS8ZGej2gIDBxyjnbbfgwnSUA+38ebNz387vcmBq4WSuUqKvUGev3JX8U+dTbVlCQcvHot5Hf6vF7MZ6cxm03D5/WelXG+KUionNP64Jqawp2tdSzMZhEOBYWckegCDBxyLsvC2QUDy7IgqxpUVYOqaag3WyiWqxPbfrm9dhPpZGwsU82w0okY5mcyiEdPyjgtE1KljlbnGLuba0jFYyzcJCdg4NDlpWk6FE2HomnodmUUpSqqzSZMc3wf/AwFA3jw810cFSU8EzTVDCvg9+GX93IIh0JcI0BOwsChq8M0TciqCuVkCqpUGyhVayNrgt6+dROpeBRfP/5m4lPNRSKhMPZy20glYqymIadh4NDVJisqNF2HomroHHeRL1XQbNvbU99XOBTE/dwO8sUSnr16M8bTfpz1lU+w8rNFFm6SUzFw6Kel3zegqCoUTYesqJAqVZRrjQtvfF2GqSYY8J8Vbno8rKYhx2Lg0E+bZVn2Izhdh6pqaLTaKEgVmJaJ+3d2cVQo4tl3zp1qVpYWsbZ8A7EoCzfJ8Rg4RD/U6/Wh93tQVA2tzrF9GaHRgGGMt4V6GH6fF3u3d5BJJ+Dz+SZ9HKL3wcAh+jGmaZ5cRLDfBVXrDRQrVcjK+PcCnWdpbhYba8uspqHLhoFD9CEUVYOm2++BjrsyClIF9VYbljW+1mqPx4N7u5v2GgQ/q2no0mHgEI2CYdhXslVVh6yqkKo1lKs1aPpoet9mM2nsbqwhGY+N5OcRTQADh2hcZEU5ewzXaneQlypod46H+uNwu1zIbW9gYTaLIAs36XJj4BCJovf6UDUNiqqhKyt2P1yjgX7//CV16UQCue11pJMs3KQrgYFDNCmWZUFWVHsK0jTU6k2UTi4j7G7cwvX5GRZu0lXCwCFyElXT0ev3EQmHWLhJVw0Dh4iIhHjvwOG/WkREJAQDh4iIhGDgEBGREAwcIiISgoFDRERCMHCIiEgIBg4REQnBwCEiIiEYOEREJAQDh4iIhGDgEBGREAwcIiISgoFDRERCMHCIiEgIBg4REQnBwCEiIiEYOEREJAQDh4iIhGDgEBGREAwcIiISgoFDRERCMHCIiEgIBg4REQnBwCEiIiEYOEREJAQDh4iIhGDgEBGREJ4hv39qLKcgIqIrjxMOEREJwcAhIiIhGDhERCQEA4eIiIRg4BARkRAMHCIiEoKBQ0REQjBwiIhICAYOEREJwcAhIiIh/gcwY2pz9oA14gAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<Figure size 504x360 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 504x360 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 504x360 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 504x360 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 504x360 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 504x360 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 504x360 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 504x360 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 504x360 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "def plot_conv(array, ks, stride=1, offset_x=0, offset_y=0, mode=\"SAME\", connect=False, name=\"conv\", gap=6):\n",
    "    height, width, channels = array.shape\n",
    "    pad = get_padding(array, ks, mode)\n",
    "    \n",
    "    fig = plt.figure(figsize=(7, 5))\n",
    "    ax = fig.gca(projection='3d')\n",
    "    ax._axis3don = False\n",
    "    ax.set_zlim3d(0, gap)\n",
    "    max_size = max(height + pad[1] + pad[3], width + pad[0] + pad[2])\n",
    "    ax.set_ylim(0, max_size + 1)\n",
    "    ax.set_xlim(0, max_size + 1)\n",
    "\n",
    "    # input surface\n",
    "    x = np.linspace(0, width, width + 1)\n",
    "    y = np.linspace(0, height, height + 1)\n",
    "    X,Y = np.meshgrid(x,y)\n",
    "    Z = np.zeros_like(X)\n",
    "    surf = ax.plot_surface(X, Y, Z, alpha=0.3)\n",
    "\n",
    "    # padding surface\n",
    "    x = np.linspace(-pad[0], width + pad[2], width + 1 + pad[0] + pad[2])\n",
    "    y = np.linspace(-pad[1], height + pad[3], height + 1 + pad[1] + pad[3])\n",
    "    X,Y = np.meshgrid(x,y)\n",
    "    Z = np.zeros_like(X)\n",
    "    surf = ax.plot_surface(X, Y, Z, alpha=0.3, color=\"white\", lw=0.5, edgecolors=\"white\")\n",
    "    \n",
    "    # lines\n",
    "    sx, sy, sz = -pad[0] + offset_x, -pad[1] + offset_y, 0\n",
    "    p1 = (sx, sy, sz)\n",
    "    p2 = (sx, sy + ks[1], sz)\n",
    "    p3 = (sx + ks[0], sy + ks[1], sz)\n",
    "    p4 = (sx + ks[0], sy, sz)\n",
    "    frame_line(ax, p1, p2)\n",
    "    frame_line(ax, p2, p3)\n",
    "    frame_line(ax, p3, p4)\n",
    "    frame_line(ax, p4, p1)\n",
    "    \n",
    "    x = np.linspace(sx, sx + ks[0], sx + ks[0] + 1)\n",
    "    y = np.linspace(sy, sy + ks[1], sy + ks[1] + 1)\n",
    "    X,Y = np.meshgrid(x,y)\n",
    "    Z = np.zeros_like(X) + sz\n",
    "    surf = ax.plot_surface(X, Y, Z, alpha=0.2, color=\"red\")\n",
    "    \n",
    "    # output surface\n",
    "    res_x_len = int((width + pad[0] + pad[2] - ks[0]) / stride + 1)\n",
    "    res_y_len = int((height + pad[1] + pad[3] - ks[1]) / stride + 1)\n",
    "    center_x = (width) / 2\n",
    "    center_y = (height) / 2\n",
    "    \n",
    "    x = np.linspace(center_x - res_x_len / 2, center_x + res_x_len / 2, res_x_len + 1)\n",
    "    y = np.linspace(center_y - res_y_len / 2, center_y + res_y_len / 2, res_y_len + 1)\n",
    "    X,Y = np.meshgrid(x,y)\n",
    "    Z = np.zeros_like(X) + gap\n",
    "    surf = ax.plot_surface(X, Y, Z, alpha=0.3, color=\"green\", lw=0.5, edgecolors=\"white\")\n",
    "\n",
    "    sx, sy, sz = center_x - res_x_len / 2 + offset_x, center_y - res_y_len / 2 + offset_y, gap\n",
    "    p1_ = (sx, sy, sz)\n",
    "    p2_ = (sx, sy + 1, sz)\n",
    "    p3_ = (sx + 1, sy + 1, sz)\n",
    "    p4_ = (sx + 1, sy, sz)\n",
    "    frame_line(ax, p1_, p2_)\n",
    "    frame_line(ax, p2_, p3_)\n",
    "    frame_line(ax, p3_, p4_)\n",
    "    frame_line(ax, p4_, p1_)\n",
    "\n",
    "    if connect:\n",
    "        frame_line(ax, p1, p1_)\n",
    "        frame_line(ax, p2, p2_)\n",
    "        frame_line(ax, p3, p3_)\n",
    "        frame_line(ax, p4, p4_)\n",
    "        \n",
    "#     plt.title(name + \" (%d, %d) -> (%d, %d)\" % (height, width, res_y_len, res_x_len))\n",
    "    plt.savefig(\"./plots/conv/%s.png\" % name)\n",
    "    \n",
    "def frame_line(ax, p1, p2, alpha=0.4):\n",
    "    line_color = \"blue\"\n",
    "    lw = 1.5\n",
    "    ax.plot([p1[0], p2[0]], [p1[1], p2[1]], zs=[p1[2], p2[2]], lw=lw, color=line_color, alpha=alpha, linestyle='--')\n",
    "    \n",
    "    \n",
    "inputs = np.random.randint(0, 20, (5, 5, 3))\n",
    "stride = 1\n",
    "ks = [3, 3]\n",
    "mode = \"VALID\"\n",
    "pad = get_padding(inputs, ks, mode=mode)\n",
    "height, width, channels = inputs.shape\n",
    "res_width = int((width + pad[0] + pad[2] - ks[0]) / stride + 1)\n",
    "res_height = int((height + pad[1] + pad[3] - ks[1]) / stride + 1)\n",
    "for y in range(res_height):\n",
    "    for x in range(res_width):\n",
    "        plot_conv(inputs, ks=ks, stride=stride, offset_x=x, offset_y=y, mode=mode, connect=True, name=\"%s%s\" % (x, y))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 504x360 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 504x360 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 504x360 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "inputs = np.random.randint(0, 20, (5, 5, 3))\n",
    "stride = 1\n",
    "ks = [3, 3]\n",
    "plot_conv(inputs, ks=ks, mode=\"FULL\", stride=stride, name=\"FULL\", connect=True)\n",
    "plot_conv(inputs, ks=ks, mode=\"VALID\", stride=stride, name=\"VALID\", connect=True)\n",
    "plot_conv(inputs, ks=ks, mode=\"SAME\", stride=stride, name=\"SAME\", connect=True)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "#### 卷积计算优化：转化为矩阵相乘"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "metadata": {},
   "outputs": [],
   "source": [
    "def conv_matmul(inputs, kernel, stride, mode=\"SAME\"):\n",
    "    ks = kernel.shape[:2]\n",
    "    \n",
    "    pad = get_padding(inputs, ks, mode=mode)\n",
    "    padded_inputs = np.pad(inputs, pad_width=((pad[0], pad[2]), (pad[1], pad[3]), (0, 0)), mode=\"constant\")\n",
    "\n",
    "    height, width, channels = inputs.shape\n",
    "    out_width = int((width + pad[0] + pad[2] - ks[0]) / stride + 1)\n",
    "    out_height = int((height + pad[1] + pad[3] - ks[1]) / stride + 1)\n",
    "    \n",
    "    rearrange = []\n",
    "    for y in range(0, padded_inputs.shape[0]-ks[1]+1, stride):\n",
    "        for x in range(0, padded_inputs.shape[1]-ks[0]+1, stride):\n",
    "            patch = padded_inputs[y:y+ks[1], x:x+ks[0], :]\n",
    "            rearrange.append(patch.ravel())\n",
    "    rearrange = np.asarray(rearrange).T\n",
    "    kernel = kernel.reshape(1, -1)\n",
    "    return np.matmul(kernel, rearrange).reshape(out_height, out_width)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<PIL.Image.Image image mode=L size=220x220 at 0x1A19E41BA8>"
      ]
     },
     "execution_count": 12,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "inputs = from_image(\"./Lenna_test_image.png\")\n",
    "to_image(inputs, save_path=\"./plots/conv/lenna_origin.png\")\n",
    "\n",
    "#  Embossing Filter\n",
    "kernel_one_channel = np.array([[0.1, 0.1, 0.1], [0.1, -0.8, 0.1], [0.1, 0.1, 0.1]])\n",
    "kernel = np.stack([kernel_one_channel] * 3, axis=2)\n",
    "stride = 1\n",
    "output = conv_matmul(inputs, kernel, stride)\n",
    "to_image(output, grey=True, save_path=\"./plots/conv/lenna_conv.png\")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "raw time cost: 0.7339s\n",
      "optimized time cost: 0.1670s\n",
      "reduce 77.25% time cost\n"
     ]
    }
   ],
   "source": [
    "n = 5\n",
    "\n",
    "start = time.time()\n",
    "for _ in range(n):\n",
    "    output = conv(inputs, kernel, stride=1)\n",
    "cost1 = float((time.time() - start) / n)\n",
    "print(\"raw time cost: %.4fs\" % cost1)\n",
    "\n",
    "start = time.time()\n",
    "for _ in range(n):\n",
    "    output = conv_matmul(inputs, kernel, stride=1)\n",
    "cost2 = float((time.time() - start) / n)\n",
    "print(\"optimized time cost: %.4fs\" % cost2)\n",
    "\n",
    "reduce = 100 * (cost1 - cost2) / cost1\n",
    "print(\"reduce %.2f%% time cost\" % reduce)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "#### 卷积的梯度计算"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "#### 反向传播实现"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "metadata": {},
   "outputs": [],
   "source": [
    "# Dataset Four-Shapes (https://www.kaggle.com/smeschke/four-shapes)\n",
    "# This dataset contains 16,000 images of four shapes; square, star, circle, and triangle. Each image is 200x200 pixels.\n",
    "# We down sample each image to 20x20 pixel. For each shape we sample 2,500 images.(10,000 images in total)\n",
    "\n",
    "shape_list = [\"circle\", \"square\", \"star\", \"triangle\"]\n",
    "X, X_flatten, y = list(), list(), list()\n",
    "for i, shape in enumerate(shape_list):\n",
    "    file_list = glob.glob(\"./shapes/%s/*.png\" % shape)\n",
    "    samples = np.random.choice(file_list, 2500)\n",
    "    for path in samples:\n",
    "        data = from_image(path)[::10, ::10]\n",
    "        data = data / 127.5 - 1\n",
    "        X.append(data)\n",
    "        X_flatten.append(np.ravel(data))\n",
    "        y.append(i)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 15,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "(7500, 20, 20)\n",
      "(2500, 20, 20)\n",
      "(7500, 400)\n",
      "(2500, 400)\n",
      "(7500, 1)\n",
      "(2500, 1)\n"
     ]
    }
   ],
   "source": [
    "X, X_flatten, y = np.asarray(X), np.asarray(X_flatten), np.asarray(y).reshape(-1, 1)\n",
    "train_X, test_X, train_X_flatten, test_X_flatten, train_y, test_y = train_test_split(X, X_flatten, y)\n",
    "print(train_X.shape)\n",
    "print(test_X.shape)\n",
    "print(train_X_flatten.shape)\n",
    "print(test_X_flatten.shape)\n",
    "print(train_y.shape)\n",
    "print(test_y.shape)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "##### FC with one hidden layer"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 16,
   "metadata": {},
   "outputs": [],
   "source": [
    "in_dim = 20 * 20\n",
    "out_dim = 4\n",
    "hidden_dim = 100\n",
    "\n",
    "def build_fc(in_dim, out_dim, hidden_dim):\n",
    "    bound1 = np.sqrt(6.0 / (in_dim + hidden_dim))\n",
    "    W1 = np.random.uniform(-bound1, bound1, size=[in_dim, hidden_dim])\n",
    "    b1 = np.zeros(hidden_dim)\n",
    "    bound2 = np.sqrt(6.0 / (hidden_dim + out_dim))\n",
    "    W2 = np.random.uniform(-bound2, bound2, size=[hidden_dim, out_dim])\n",
    "    b2 = np.zeros(out_dim)\n",
    "    return [W1, b1, W2, b2]\n",
    "\n",
    "def softmax(inputs):\n",
    "    return np.exp(inputs) / np.sum(np.exp(inputs), 1)[:, None]\n",
    "\n",
    "def fc_propagate(batch_X, batch_y, params):\n",
    "    # one-hot label\n",
    "    labels = np.zeros((len(batch_X), out_dim))\n",
    "    for i in range(len(batch_y)):\n",
    "        labels[i][batch_y[i]] = 1.0\n",
    "    # forward\n",
    "    W1, b1, W2, b2 = params\n",
    "    h1 = np.dot(batch_X, W1) + b1\n",
    "    a1 = np.copy(h1)\n",
    "    a1[a1 < 0.0] = 0.0\n",
    "    h2 = np.dot(a1, W2) + b2\n",
    "    p = softmax(h2)\n",
    "    # NLL loss\n",
    "    loss = np.mean(-np.log(np.sum(p * labels, 1)))\n",
    "    # backward\n",
    "    dl_dh2 = p - labels  # [batch, out_dim]\n",
    "    dl_dW2 = np.dot(a1.T, dl_dh2)\n",
    "    dl_db2 = np.sum(dl_dh2, 0)\n",
    "    dl_da1 = np.dot(dl_dh2, W2.T)\n",
    "    da1_dh1 = (h1 > 0).astype(float)\n",
    "    dl_dh1 = dl_da1 * da1_dh1\n",
    "    dl_dW1 = np.dot(batch_X.T, dl_dh1)\n",
    "    dl_db1 = np.sum(dl_dh1, 0)\n",
    "    return p, loss, [dl_dW1, dl_db1, dl_dW2, dl_db2]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 17,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "0 1.7189790235358715\n",
      "1000 0.00469358085976106\n",
      "2000 0.0026256160621620493\n",
      "3000 0.0010848400949145772\n",
      "4000 0.0007815376833262583\n",
      "eval loss:  0.0014050687031707042\n",
      "eval accu:  0.9992\n"
     ]
    }
   ],
   "source": [
    "batch_size = 32\n",
    "leanring_rate = 0.003\n",
    "running_loss = 0\n",
    "params = build_fc(in_dim, out_dim, hidden_dim)\n",
    "for step in range(5000):\n",
    "    batch_idx = np.random.randint(0, len(train_X_flatten), size=batch_size)\n",
    "    batch_X, batch_y = train_X_flatten[batch_idx], train_y[batch_idx]\n",
    "    _, loss, grads = fc_propagate(batch_X, batch_y, params)\n",
    "    if running_loss:\n",
    "        running_loss = 0.9 * running_loss + 0.1 * loss\n",
    "    else:\n",
    "        running_loss = loss\n",
    "    # update params\n",
    "    for i in range(len(params)):\n",
    "        params[i] -= leanring_rate * grads[i]\n",
    "    if step % 1000 == 0:\n",
    "        print(step, running_loss)\n",
    "# evaluate\n",
    "predict, eval_loss, _ = fc_propagate(test_X_flatten, test_y, params)\n",
    "predict = np.argmax(predict, 1)\n",
    "count = 0.0\n",
    "for i in range(len(test_y)):\n",
    "    if predict[i] == test_y[i][0]:\n",
    "        count += 1.0\n",
    "print(\"eval loss: \", eval_loss)\n",
    "print(\"eval accu: \", (count / len(test_y)))"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "##### TODO: one layer conv"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": [
    " "
   ]
  }
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